| | |
Summary: A new approximation for the dynamics of topographic
Rossby waves over an arbitrary bottom profile
Yosef Ashkenazya,
, Nathan Paldorb
, Yair Zarmia
a
Solar Energy and Environmental Physics, BIDR, Ben-Gurion University, Israel
b
Institute of Earth Sciences, The Hebrew University of Jerusalem, Jerusalem, Israel
Abstract
A new theory of non-harmonic topographic Rossby waves over bottom depth
of arbitrary, one dimensional, profile is developed based on the linearized shal-
low water equations on the f-plane. The theory yields explicit approximate
expressions for the waves' phase speed and for their non-harmonic cross-slope
structure. The analytical expressions are derived in both Cartesian and Po-
lar coordinates and are verified by comparing them with numerical results
obtained by running an ocean general circulation model (the MITgcm).
Keywords: Topographic waves, Perturbation method, Lake dynamics,
Linearized shallow water equations, Polar coordinates, Circular basins
1. Introduction
|
